How to Download Video from Dropbox App?

Since Apple discontinued iDisk, I have been using Dropbox. However, how can I download a movie shared in Dropbox via the app, web app, or full website?

I see that I can download a photo into Photos, but for some reason it does not allow movies to be downloaded into Photos (where a native movie shot on the iPad would otherwise be stored).

If this is a limitation of DropBox in general, is there a file sharing app for the iPad that retains essentially the same functionality as iDisk and would allow me to download a video file onto the iPad for offline viewing?